MATH113 Study Guide - Final Guide: Antiderivative, Elementary Function, Asymptote
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2 (1 dy dx x cos x cos x. " 0 y : the tangent line is horizontal , that means , the point (x,y) where . 0 we get (x,y)=(-1,2) or (1,-2). y+ = x. Answer: (x,y)=(-1,2) or(1,-2): then , with , so f x f x f (2) 1. 3= t: let the hight of the ladder top , the distance away from the wall. Here we have when the ladder is s=30 , we get t= 10. The rate of change of the height of the ladder top is when t=10. Answer: the rate is 4. 5-ft per second. f (a) we get , so the minimum value is. So the x intercept is 3 and y intercept is 0. (c) if , we say it has horizontal asymptote. Here f(x) hasn"t horizontal asymptote. c lim ( ) f x x (d) if we say it has vertical asymptote.
